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using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4–10 Leslie Laud, 2011-03-28 Seven easy steps to differentiating math instruction for busy teachers Staff development expert Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4–10. She presents a comprehensive framework of seven research-based practices that show teachers how to: Get started and establish norms Implement formative assessment Create tiered lessons Manage a multitasking classroom effectively Tested, reviewed, and enhanced by experienced math teachers, the book includes practical examples, reproducibles, and student activities that are easy for busy teachers to implement immediately. |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Mathematics Instruction Leslie Laud, 2016 This practical and thought-provoking book offers time-saving strategies essential for every teacher in every discipline. The numerous self-assessments demonstrate that the best formative assessments are not merely given to students but are an interactive learning experience involving students and teachers |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Middle School Literacy Instruction Leslie Laud, Pooja Patel, 2012-11-28 We all recognize the countless benefits of differentiated instruction. The challenge is in its implementation. Faced with a classroom of 25 students-each with very different needs-how can we possibly keep every student on track and motivated? Through formative assessment and efficient follow-up instruction. This start-to-finish guide will show you how through seven classroom-tested practices for maximizing student learning. Experts on this subject, Leslie Laud and Pooja Patel demonstrate how to Establish new classroom norms Involve students in the use of assessment data and feedback to inform their next steps Clarify end-of-unit criteria to help map learning progression Apply assessment data to group students for tiered activities Differentiate assignments based on student readiness, characteristics, and interest Best of all, Using Formative Assessment to Differentiate Middle School Literacy Instruction is packed with vignettes, sample worksheets, and charts to assist you through each step in the process. Armed with this tool kit, you'll quickly discover new ways to keep all students engaged in their learning. Book jacket. |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4–10 Leslie Laud, 2011-03-28 Seven easy steps to differentiating math instruction for busy teachers Are you able to support your struggling students while also challenging your high achievers? Research clearly shows the value of using formative assessment to differentiate mathematics instruction, but putting it into practice can be daunting. This book makes it much easier! Staff development expert and former math teacher Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4–10, using strategies ideal for a Response to Intervention (RTI) model. She presents a comprehensive framework of research-based practices that show how to: Get started and establish norms Implement formative assessment Create tiered lessons Manage a multitasking classroom effectively Tested and enhanced by experienced math teachers, the book′s strategies are designed for use in conjunction with any curriculum or textbook. Included are a wealth of practical examples, reproducibles, and student activities—all developed with effective time management in mind. Whether you are just starting or interested in enhancing your mathematics instruction, this book will prove an invaluable resource. |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Mathematics Instruction Years 4-10 Leslie Laud, 2011 Are you able to support your struggling students while also challenging your high achievers? Research clearly shows the value of using formative assessment to differentiate mathematics instruction, but putting it into practice can be daunting. Staff development expert and former maths teacher Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Years 4 - 10, using strategies ideal for a Response to Intervention (RTI) model. Tested and enhanced by experienced maths teachers, the book's strategies are designed for use in conjunction with any curriculum or textbook. Included are a wealth of practical examples, resources and student activities - all developed with effective time management in mind. Whether you are just starting or interested in enhancing your mathematics instruction, this book will prove an invaluable resource. |
using formative assessment to differentiate mathematics instruction: Uncovering Student Thinking in Mathematics, Grades K-5 Cheryl Rose Tobey, Leslie Minton, 2010-10-04 This book provides 25 easily administered assessments of learners' math knowledge that help teachers monitor learning in real time and improve all students' math skills. |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Drive Mathematics Instruction in Grades PreK-2 Jennifer Taylor-Cox, Christine Oberdorf, 2013-09-27 Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors...Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors... Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Differentiate Middle School Literacy Instruction Leslie Laud, Pooja Patel, 2012-11-28 Formative assessment and differentiated instruction made manageable We all recognize the countless benefits of differentiated instruction. The challenge is in its implementation. This start-to-finish guide will show you how through formative assessment and seven classroom-tested practices for maximizing student learning. Packed with vignettes, sample worksheets, and charts, this toolkit demonstrates how to: Establish new classroom norms Involve students in the use of assessment data and feedback to inform their next steps Clarify end-of-unit criteria to help map learning progression Apply assessment data to grouping students for tiered activities Differentiate assignments based on student readiness, characteristics, and interest |
using formative assessment to differentiate mathematics instruction: Teaching Math Online Marian Small, 2022 |
using formative assessment to differentiate mathematics instruction: Using Formative Assessment to Drive Mathematics Instruction in Grades 3-5 Jennifer Taylor-Cox, Christine Oberdorf, 2014-06-11 Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors... Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. |
using formative assessment to differentiate mathematics instruction: 25 Quick Formative Assessments for a Differentiated Classroom Judith Dodge, 2009 Presents a variety of assessments, lesson plans, and activities for use across the curriculum. |
using formative assessment to differentiate mathematics instruction: Clarity in the Classroom Michael Absolum, 2011-01-31 The author, Michael Absolum, shows how building learning-focused relationships between teacher and student helps make “assessment for learning” principles work effectively. He does this by breaking down the bigger ideas of assessment into smaller parts that make it easy for educators to understand. Throughout the book, Absolum shares his ideas about the: • Nature of student learning; • Nature of the student/teacher relationship; • Skills that teachers need to support students; and • Skills that students need to learn. Originally written for a New Zealand readership, Clarity in the Classroom has been adapted for North American educators. This book is an essential resource for every teacher and administrator looking to support and enhance the learning opportunities for all students. The adaptions to the North American edition were done by James Gray, a vice-principal in Winnipeg, Manitoba, and Meagan Mutchmor, a K–8 mathematics consultant for the Winnipeg School Division. |
using formative assessment to differentiate mathematics instruction: Differentiating Math Instruction William N. Bender, 2009-03-17 With recommendations based on the 2008 National Mathematics Advisory Panel report, this updated resource provides classroom-ready strategies for differentiating math instruction. |
using formative assessment to differentiate mathematics instruction: Math Tools, Grades 3–12 Harvey F. Silver, John R. Brunsting, Terry Walsh, Edward J. Thomas, 2012-08-29 Common Core + Differentiated Instruction + Student Engagement = Higher Student Achievement If you′re like most math teachers, this is a problem you wrestle with every day. Harvey Silver and his colleagues have updated their best-selling text to provide a solution. With new Common Core–aligned tools and strategies, this second edition of Math Tools, Grades 3–12 is an all-in-one math classroom management resource that will enable you to teach to the Common Core, differentiate instruction, and keep students engaged—all at the same time. Covering everything from lesson design to math-specific learning styles, the second edition′s 60+ tools will enable you to: Work in smarter, more efficient ways with all of your students, no matter the class size or make up Create standards-based lesson plans, tests, and formative assessments Reach every learner regardless of understanding level or learning style Integrate technology into class time for more engaging math lessons Add in a Common Core matrix, immediately useable reproducibles, and learning-style charts—and you′re fully equipped to make the ambitions of the Common Core Math Standards a reality in your classroom. |
using formative assessment to differentiate mathematics instruction: How to Differentiate Instruction in Academically Diverse Classrooms Carol A. Tomlinson, 2017-03-22 First published in 1995 as How to Differentiate Instruction in Mixed-Ability Classrooms, this new edition reflects evolving best practices, practitioners' experience, and Tomlinson's ongoing thinking about how to help all students access high-quality curriculum; engage in meaningful learning experiences; and feel safe and valued in their school. Written as a practical guide for teachers, this expanded 3rd edition of Carol Ann Tomlinson's groundbreaking work covers the fundamentals of differentiation and provides additional guidelines and new strategies for how to go about it. You'll learn What differentiation is and why it's essential How to set up the flexible and supportive learning environment that promotes success How to manage a differentiated classroom How to plan lessons differentiated by readiness, interest, and learning profile How to differentiate content, process, and products How to prepare students, parents, and yourself for the challenge of differentiation We differentiate instruction to honor the reality of the students we teach. They are energetic and outgoing. They are quiet and curious. They are confident and self-doubting. They are interested in a thousand things and deeply immersed in a particular topic. They are academically advanced and kids in the middle and struggling due to cognitive, emotional, economic, or sociological challenges. More of them than ever speak a different language at home. They learn at different rates and in different ways. And they all come together in our academically diverse classrooms. |
using formative assessment to differentiate mathematics instruction: How to Differentiate Instruction in Mixed-ability Classrooms Carol A. Tomlinson, 2001 Offers a definition of differentiated instruction, and provides principles and strategies designed to help teachers create learning environments that address the different learning styles, interests, and readiness levels found in a typical mixed-ability classroom. |
using formative assessment to differentiate mathematics instruction: The Knowledge Gap Natalie Wexler, 2019-08-06 “Essential reading for teachers, education administrators, and policymakers alike.” —STARRED Library Journal The untold story of the root cause of America's education crisis It was only after years within the education reform movement that Natalie Wexler stumbled across a hidden explanation for our country's frustrating lack of progress when it comes to providing every child with a quality education. The problem wasn't one of the usual scapegoats: lazy teachers, shoddy facilities, lack of accountability. It was something no one was talking about: the elementary school curriculum's intense focus on decontextualized reading comprehension skills at the expense of actual knowledge. In the tradition of Dale Russakoff's The Prize and Dana Goldstein's The Teacher Wars, Wexler brings together history, research, and compelling characters to pull back the curtain on this fundamental flaw in our education system--one that fellow reformers, journalists, and policymakers have long overlooked, and of which the general public, including many parents, remains unaware. But The Knowledge Gap isn't just a story of what schools have gotten so wrong--it also follows innovative educators who are in the process of shedding their deeply ingrained habits, and describes the rewards that have come along: students who are not only excited to learn but are also acquiring the knowledge and vocabulary that will enable them to succeed. If we truly want to fix our education system and unlock the potential of our neediest children, we have no choice but to pay attention. |
using formative assessment to differentiate mathematics instruction: Formative Assessment Improving Learning in Secondary Classrooms OECD, 2005-01-25 This study features a collection of eight case studies of exemplary cases from secondary schools as well as international literature reviews and policy analysis related to formative assessment. |
using formative assessment to differentiate mathematics instruction: Concept-Based Mathematics Jennifer T.H. Wathall, 2016-01-14 Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind! — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students. — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant |
using formative assessment to differentiate mathematics instruction: Numeracy for All Learners Pamela D. Tabor, Dawn Dibley, Amy J. Hackenberg, Anderson Norton, 2020-09-30 Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework. |
using formative assessment to differentiate mathematics instruction: The Differentiated Classroom Carol Ann Tomlinson, 2014-05-25 Although much has changed in schools in recent years, the power of differentiated instruction remains the same—and the need for it has only increased. Today's classroom is more diverse, more inclusive, and more plugged into technology than ever before. And it's led by teachers under enormous pressure to help decidedly unstandardized students meet an expanding set of rigorous, standardized learning targets. In this updated second edition of her best-selling classic work, Carol Ann Tomlinson offers these teachers a powerful and practical way to meet a challenge that is both very modern and completely timeless: how to divide their time, resources, and efforts to effectively instruct so many students of various backgrounds, readiness and skill levels, and interests. With a perspective informed by advances in research and deepened by more than 15 years of implementation feedback in all types of schools, Tomlinson explains the theoretical basis of differentiated instruction, explores the variables of curriculum and learning environment, shares dozens of instructional strategies, and then goes inside elementary and secondary classrooms in nearly all subject areas to illustrate how real teachers are applying differentiation principles and strategies to respond to the needs of all learners. This book's insightful guidance on what to differentiate, how to differentiate, and why lays the groundwork for bringing differentiated instruction into your own classroom or refining the work you already do to help each of your wonderfully unique learners move toward greater knowledge, more advanced skills, and expanded understanding. Today more than ever, The Differentiated Classroom is a must-have staple for every teacher's shelf and every school's professional development collection. |
using formative assessment to differentiate mathematics instruction: Theorizing STEM Education in the 21st Century Kehdinga George Fomunyam, 2020-02-26 Theorising STEM Education in the 21st Century is a book that captures the essence of Science, Technology, Engineering and Mathematics and the intricacies of STEM education in the contemporary society. It explores STEM as an interdisciplinary field as well as the individual disciplines that make up STEM. This ensures the field of STEM as a whole is theorised. The book provides critical insight on STEM education from Cairo to Cape Town or from America to Indonesia. With a team of authors from universities across the world, the book is a vital contribution to critical scholarship on STEM education in contemporary times. |
using formative assessment to differentiate mathematics instruction: Visible Learning for Mathematics, Grades K-12 John Hattie, Douglas Fisher, Nancy Frey, Linda M. Gojak, Sara Delano Moore, William Mellman, 2016-09-15 Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning. |
using formative assessment to differentiate mathematics instruction: Guided Math Workshop Laney Sammons, Donna Boucher, 2017-03-01 This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students. |
using formative assessment to differentiate mathematics instruction: Good Questions Marian Small, 2017-04-28 Over 100 new tasks & questions--Cover. |
using formative assessment to differentiate mathematics instruction: Leading and Managing a Differentiated Classroom Carol Ann Tomlinson, Marcia B. Imbeau, 2023-01-11 Updated with new research and insights, the second edition of this foundational guide to the how of differentiation provides the thoughtful strategies teachers need to create and maintain classrooms where each student is recognized and respected and every student thrives. One of the most powerful lessons a teacher must learn is that classroom management is not about control; it's about delivering the support and facilitating the routines that will make the classroom work for each student, and thus, set all students free to be successful learners. In Leading and Managing a Differentiated Classroom, Carol Ann Tomlinson and Marcia B. Imbeau explore the central priorities and mindsets of differentiation and provide practical guidelines for making effective student-centered, academically responsive instruction a reality. Their classroom management approach is based on three critical understandings: 1. When students are engaged, they have no motivation to misbehave. 2. When students understand that their teacher sees them as worthwhile people with significant potential, it opens doors to learning. 3. The classroom can't work for anybody until it works for everybody. Written for K–12 teachers and instructional leaders, this book is packed with strategies for structuring and pacing lessons, organizing learning spaces and materials, starting and stopping class with purpose, setting up and managing routines, and shifting gears if something isn't going well. It also gives teachers the guidance they need to help students, colleagues, and parents understand the goals of differentiated instruction and contribute to its success. Along with examples of recommended practice drawn from real-life classrooms at a variety of grade levels, you will find answers to frequently asked questions and specific advice for balancing content requirements and the needs of learners. You'll gain confidence as a leader for and in your differentiated classroom and be better prepared to teach in a way that's more efficient and rewarding for you and more effective for every student in your care. |
using formative assessment to differentiate mathematics instruction: Formative Assessment Margaret Heritage, 2010-06-14 A practical, in-depth guide to implementing formative assessment in your classroom! Formative assessment allows teachers to identify and close gaps in student understanding and move learning forward. This research-based book walks readers through every step of the process and offers illustrative examples across a range of subject areas and grade levels. This book explains how to: Clearly articulate learning progressions, learning goals, and success criteria Select strategies for assessment and provide quality feedback Engage students in self-assessment and self-management Create a classroom environment that values feedback as part of the learning process |
using formative assessment to differentiate mathematics instruction: Formative Assessment for Literacy, Grades K-6 Alison L. Bailey, Margaret Heritage, 2008-03-13 Grounded in research and practice, this resource shows elementary teachers how to use formative assessment to build students' language and literacy skills across the curriculum. |
using formative assessment to differentiate mathematics instruction: Differentiating Instruction Jacqueline S. Thousand, Richard A. Villa, Ann I. Nevin, 2007-03-13 This comprehensive resource demonstrates how to combine co-teaching with differentiated instruction for all diverse learners using universal design for learning (UDL) and a unique retrofit approach. |
using formative assessment to differentiate mathematics instruction: What Successful Math Teachers Do, Grades 6-12 Alfred S. Posamentier, Terri L. Germain-Williams, Daniel Jaye, 2013-07-11 What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the how--Something the research rarely manages to tackle. That's the big service What Successful Math Teachers Do provides. It's a powerful portal to what the best research looks like in practice, strategy by strategy-aligned in this new edition to both the Common Core and the NCTM Standards. How exactly does What Successful Math Teachers Do work? It couldn't be easier to navigate. The book's eleven chapters organize clusters of strategies around a single aspect of a typical instructional program. For each of the 75 strategies, the authors present: A brief description of that strategy A summary of supporting research The NCTM and Common Core Standards it meets--and how Classroom applications, with examples Precautions and possible pitfalls Primary sources for further reading and research. |
using formative assessment to differentiate mathematics instruction: Softening the Edges Katie White, 2017 With foreword by Cassandra Erkens The assessment process can be a rich experience for you and your students. With Softening the Edges, you'll discover how to design and deliver differentiated instruction and assessment to address learners' diverse intellectual and emotional needs. By creating an effective assessment architecture, you can ensure your students are invested in their own learning and have the confidence to face any learning challenge. Examine how to use self-assessment, formative assessment, summative assessment, and preassessment in ways that cultivate a positive culture of learning. This book will show you how to use assessment responsibly to build enriching relationships among teachers and students: Spot the indicators of hard and soft edges in classroom practices to differentiate instruction and assessment for learning. Learn how to educate for the whole child to meet students' cognitive, physical, and ethical development needs and support their social and emotional learning. Examine the importance of a learning continuum to smoothly guide students and increase student engagement and positive learning experiences. Visualize the qualities of a shared space that supports students' learning targets. Contents: Foreword by Cassandra Erkens Chapter 1: Assessment and the Whole Person Chapter 2: Instruction and Assessment Planning Using a Learning Continuum Chapter 3: Preassessment Chapter 4: Formative Assessment and Feedback Chapter 5: Self-Assessment and Goal Setting Chapter 6: Summative Assessment Chapter 7: Systems of Reporting Appendix: Sample Learning Continuums |
using formative assessment to differentiate mathematics instruction: Teaching Mathematics Today 2nd Edition Erin Lehmann, 2015-04-01 This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators. |
using formative assessment to differentiate mathematics instruction: Transformative Assessment W. James Popham, 2008-04-15 Testing expert W. James Popham provides the definitive nuts-and-bolts introduction to formative assessment, a process with the power to transform teaching and learning. |
using formative assessment to differentiate mathematics instruction: Guide to Implementing the Next Generation Science Standards National Research Council, Division of Behavioral and Social Sciences and Education, Board on Science Education, Committee on Guidance on Implementing the Next Generation Science Standards, 2015-03-27 A Framework for K-12 Science Education and Next Generation Science Standards (NGSS) describe a new vision for science learning and teaching that is catalyzing improvements in science classrooms across the United States. Achieving this new vision will require time, resources, and ongoing commitment from state, district, and school leaders, as well as classroom teachers. Successful implementation of the NGSS will ensure that all K-12 students have high-quality opportunities to learn science. Guide to Implementing the Next Generation Science Standards provides guidance to district and school leaders and teachers charged with developing a plan and implementing the NGSS as they change their curriculum, instruction, professional learning, policies, and assessment to align with the new standards. For each of these elements, this report lays out recommendations for action around key issues and cautions about potential pitfalls. Coordinating changes in these aspects of the education system is challenging. As a foundation for that process, Guide to Implementing the Next Generation Science Standards identifies some overarching principles that should guide the planning and implementation process. The new standards present a vision of science and engineering learning designed to bring these subjects alive for all students, emphasizing the satisfaction of pursuing compelling questions and the joy of discovery and invention. Achieving this vision in all science classrooms will be a major undertaking and will require changes to many aspects of science education. Guide to Implementing the Next Generation Science Standards will be a valuable resource for states, districts, and schools charged with planning and implementing changes, to help them achieve the goal of teaching science for the 21st century. |
using formative assessment to differentiate mathematics instruction: Assessment for Effective Teaching Gerald S. Hanna, Peggy Dettmer, 2004 Written in a straightforward and conversational manner, this book integrates assessment and instruction to provide educators with an understanding of when and why to use different assessment techniques to optimize student learning. Emphasis is on realistic applications, taken from the author's experiences using mainstream assessment principles. The subject matter in each chapter is frequently expanded with examples from a broad range of educational settings, ranging from classroom teaching to school administration, school counseling, special education, and related special services for students with special needs. Features Discussion of individual differences among students helps readers understand the reality of individual differences so as to employ assessment to influence learning for all students. Separate chapters on product assessment with rubrics and performance assessment methods present balanced and contemporary treatment of authentic assessment in Chapters 8 and 9. Simple, easily managed data sets and computation exercises for developing concepts throughout the text eliminate intricate calculations that often get in the way of important principles. An entire chapter (13) on assessment issues in special education helps readers address the thicket of special education issues and mandates in which assessment plays a vital role. Learning aids such as Discussion Questions, Thinking Cap Exercises, and computational problems are embedded throughout the book to provide assistance in identifying key issues, checking comprehension and review. Instructor's Manual/Test Bank developed by the authors is available to adopters. Companion website for students and instructors is available at: www.ablongman.com/hannadettmer. Related Titles: Program Evaluation: Alternative Approaches and Practical Guidelines, 3/e Jody L. Fitzpatrick James R. Sanders Blaine R. Worthen Order No. 0-321-07706-7 Designing and Using Tools for Educational Assessment, 1/e Madhabi Chatterji Order No. 0-205-29928-8 Consultation, Collaboration, and Teamwork for Students with Special Needs, 4/e Peggy Dettmer Norma Dyck Linda P. Thurston Order No. 0-205-34073-3 |
using formative assessment to differentiate mathematics instruction: Everything You Need for Mathematics Coaching Maggie B. McGatha, Jennifer M. Bay-Williams, Beth McCord Kobett, Jonathan A. Wray, 2018-04-02 Math coaches wear many hats. You think on your feet and have to invent, react, and respond—often without time to prepare—in a myriad of professional contexts. What’s your go-to resource for support? Plan, focus, and lead: Your toolkit for inspiring math teachers Meet Everything You Need For Mathematics Coaching: Tools, Plans, and a Process That Works for Any Instructional Leader. This one-stop, comprehensive toolkit for improving mathematics instruction and learning is designed for busy math coaches and teacher leaders who often have to rely on their own competencies. Using the Leading for Mathematical Proficiency Framework, the authors position student outcomes as the focus of all professional work and connect the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to help you guide teachers toward growing mathematics proficiency in their classrooms. This hands-on resource details critical coaching and teaching actions, and offers nearly a hundred tools for: Shifting classroom practice in a way that leads to student math proficiency and understanding of mathematical concepts. Honing in on key areas, including content knowledge and worthwhile tasks, student engagement, questioning and discourse, analysis of student work, formative assessment, support for emergent language learners and students with special needs, and more. Navigating a coaching conversation. Planning and facilitating professional learning communities. Finding a focus for professional development or a learning cycle. Making connections between professional learning activities, teaching, and student learning. Using the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. With examples from the field, a comprehensive list of resources for effective coaching, and a plethora of tools you can download and share with teachers, this toolkit is your must-have guide to designing a professional learning plan and leading with clarity and purpose. |
using formative assessment to differentiate mathematics instruction: The School Leader’s Guide to Building and Sustaining Math Success Marian Small, Doug Duff, 2018-07-30 The pressure is on. Principals, expected to improve math performance at their schools, often don't know where to beginas they may be uncomfortable with math themselves—or believe that their schools are already doing all that they can. How can K–12 school leaders recognize and ensure that their school or district is supporting good math instruction? Marian Small and Doug Duff provide the answer to that and other questions in The School Leader's Guide to Building and Sustaining Math Success. Drawing on their vast experience working with administrators, Small and Duff provide practical advice and helpful tools for improving math instruction. They guide you through the initial steps of establishing a strong math culture, developing common tasks, and getting buy-in, and then offer specific suggestions for monitoring, supporting, and sustaining improvement. You'll learn what sort of data to collect, what to look for in the classroom, what to listen for in conversations with teachers and students, and how to deal with reluctant staff or parents. With its real-world examples and insights, this book is essential reading for any principal who wants to bring about positive change and real growth in the teaching and learning of math in their school. |
using formative assessment to differentiate mathematics instruction: Response to Intervention in Math Paul J. Riccomini, Bradley S. Witzel, 2010 Provides educators with instructions on applying response-to-intervention (RTI) while teaching and planning curriculum for students with learning disabilities. |
using formative assessment to differentiate mathematics instruction: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
using formative assessment to differentiate mathematics instruction: Checking for Understanding Douglas Fisher, Nancy Frey, 2015-12-18 A teacher presents a lesson, and at the end asks students if they understand the material. The students nod and say they get it. Later, the teacher is dismayed when many of the students fail a test on the material. Why aren’t students getting it? And, just as important, why didn’t the teacher recognize the problem? In Checking for Understanding, Douglas Fisher and Nancy Frey show how to increase students’ understanding with the help of creative formative assessments. When used regularly, formative assessments enable every teacher to determine what students know and what they still need to learn. Fisher and Frey explore a variety of engaging activities that check for and increase understanding, including interactive writing, portfolios, multimedia presentations, audience response systems, and much more. This new 2nd edition of Checking for Understanding has been updated to reflect the latest thinking in formative assessment and to show how the concepts apply in the context of Fisher and Frey’s work on gradual release of responsibility, guided instruction, formative assessment systems, data analysis, and quality instruction. Douglas Fisher and Nancy Frey are the creators of the Framework for Intentional and Targeted (FIT) Teaching™. They are also the authors of numerous ASCD books, including The Formative Assessment Action Plan: Practical Steps to More Successful Teaching and Learning and the best-selling Enhancing RTI: How to Ensure Success with Effective Classroom Instruction and Intervention. |
Convert Rows to columns using 'Pivot' in SQL Server
Apr 10, 2013 · If you are using SQL Server 2005+, then you can use the PIVOT function to transform the data from rows into columns. It sounds like you will need to use dynamic sql if …
How can I uninstall an application using PowerShell?
Apr 15, 2016 · For Most of my programs the scripts in this Post did the job. But I had to face a legacy program that I couldn't remove using msiexec.exe or Win32_Product class. (from some …
how to get data from another sheet in excel using IF function
May 23, 2016 · From the DataInput worksheet I'll calculate the Cost Price (AU) (in the Cost Price (AU) column) using the following criteria: If the Exchange Rate Type is NL then the Cost Price …
How to open an elevated cmd using command line for Windows?
Sep 30, 2013 · I did it easily by using this following command in cmd runas /netonly /user:Administrator\Administrator cmd after typing this command, you have to enter your …
Using RegEx in SQL Server - Stack Overflow
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Convert Rows to columns using 'Pivot' in SQL Server
Apr 10, 2013 · If you are using SQL Server 2005+, then you can use the PIVOT function to transform the data from rows into columns. It sounds like you will need to use dynamic …
How can I uninstall an application using PowerShell?
Apr 15, 2016 · For Most of my programs the scripts in this Post did the job. But I had to face a legacy program that I couldn't remove using msiexec.exe or Win32_Product class. …
how to get data from another sheet in excel using IF function
May 23, 2016 · From the DataInput worksheet I'll calculate the Cost Price (AU) (in the Cost Price (AU) column) using the following criteria: If the Exchange Rate Type is NL then the …
How to open an elevated cmd using command line for Windows?
Sep 30, 2013 · I did it easily by using this following command in cmd runas /netonly /user:Administrator\Administrator cmd after typing this command, you have to enter …
Using RegEx in SQL Server - Stack Overflow
Jan 19, 2012 · As of April 2024, Azure SQL Database has now added support for "real" Regular-Expressions using the POSIX dialect (as opposed to the PCRE or .NET Regex …